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The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel

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摘要 The z-transform is introduced to analyze a full discretization method fora partial integro-differential equation (PIDE) with a weakly singular kernel. In thismethod, spectral collocation is used for the spatial discretization, and, for the time stepping, the finite difference method combined with the convolution quadrature rule isconsidered. The global stability and convergence properties of complete discretizationare derived and numerical experiments are reported.
作者 Jie Tang Da Xu
机构地区 College of Mathematics and Computer Science College of Science
出处 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2013年第3期556-570,共15页 高等学校计算数学学报（英文版）
基金 The first author was supported in part by Scientific Research Fund of Hunan Provincial Education Department of China(10C0654) the NSF of China(10971059,11101136) the NSF of Hunan Province,China(10JJ6003) the Grant of Science and Technology Commission of Hunan Province,China(2012FJ4116) the NSF of Hunan University of Technology(2011HZX17) The second author was supported in part by NSF of China(10271046,10971062).
关键词 Partial integro-differential equation weakly singular kernel spectral collocation methods Z-TRANSFORM convolution quadrature
分类号 O17 [理学—基础数学]
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Numerical Mathematics(Theory,Methods and Applications)
2013年 第3期

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